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A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(...

`A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)],V=[(a^2),(0),(0)]` If there is a vector matrix X, such that `AX = U` has infinitely many solutions, then prove that `BX = V` cannot have a unique solution. If `a f d != 0`. Then,prove that `BX = V` has no solution.

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CENGAGE PUBLICATION-MATRICES-All Questions
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  2. Let A be an nth-order square matrix and B be its adjoint, then |A B+K ...

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  3. A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)...

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  4. If M is a 3 xx 3 matrix, where det M=1 and MM^T=1, where I is an ident...

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  5. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

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  6. Let S be the set which contains all possible values of l ,m ,n ,p ,q ,...

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  7. Given a matrix A=[(a,b,c),(b,c,a),(c,a,b)], where a, b, c are real pos...

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  8. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

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  9. Let A=[[3x^2], [1], [6x]],B=[a,b,c]and C=[[(x+2)^2, 5x^2, 2x],[5x^2, 2...

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  10. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

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  11. Let A=([a(i j)])(3xx3) be a matrix such that AA^T=4Ia n da(i j)+2c(i j...

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  12. Let A be the set of all 3xx3 skew-symmetri matrices whose entries are ...

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  13. If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[...

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  14. For two unimodular complex number z1a n dz2 [[barz1, -z2], [barz2, z1...

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  15. If Aa n dB are two non-singular matrices of the same order such that B...

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  16. If A is non-diagonal involuntary matrix, then a. A-I=O b. A+I=O c. A-...

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  17. if A and B are squares matrices such that A^(2006)=O and A B=A+B , the...

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  18. If matrix A is given by A=|[6, 11], [2, 4]| , then the determinant o...

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  19. If A=[(a, b, c), (x, y, z), (p, q, r)], B=[(q,-b, y),(-p, a,-x),(r,-c,...

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  20. If A and B are two non-singular matrices such that A B=C ,t h e n,|B| ...

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